Name:__________________________________________
Date:___________________
Unit 1: Foundations: Graphs and Numbers Practice 2
1. Which of the following are integers? Circle all that apply.
3,400
3/4
7.5
2
-34
2. Which of the following are real numbers? Circle all that apply.
3.5
-1/3
22
___/4
0
___/4
-π
3. For the numbers given below, write them in the correct family or families. If a
number belongs in more than one family, place it in all the correct families. ____/11
Natural Numbers
-7
-π
Whole Numbers
-3.2
1
Integers Numbers
√11/2
5678
Rational Numbers
Irrational Numbers
4. Order the following numbers from least to greatest.
1/5
-1.2
3
-2.1
5/4
1
___/4
-1/5 0
5. Jacob lives on a street that runs east and west. The bank and Walmart are to the
east as shown in the diagram below. Both are on the same street as his house.
Answer the questions below about the following story:
House
Bank
Walmart
West
East
At 12:00 p.m., Jacob hops in his car and drives at a constant speed of 20 mph for 15
minutes to the bank. After 5 minutes at the post office, he drives at a constant speed of
40 mph for 60 minutes to get to Walmart. He then spends 15 minutes buying groceries.
a. Draw a graph that shows the distance Jacob’s car is from his house with respect
to time. Remember to label your axes with the units you chose and any
important points (home, Bank ,Walmart).
___/5
House
Bank
Walmart
West
At 12:30PM, how far is Jacob from his house? Show your work.
East
___/3
6. Perform the given operations. Simplify as much as possible.
3
1
a. 5 + 2
3
b. 1.25 − 4
c.
8
d.
4 13
e.
5
5
___/4
___/4
___/4
−3
___/4
( )
5
6
5
4
3
___/3
3 4
f. −1.2 + 4 (3) + 2.1
___/3
7. Jason returns again! This time he is collecting data on the rate of water passage at a
dam during a typical day. The electronic water meter for the dam displays the total
amount of water that passes through in gallons. At noon, Jason looks at the water
meter and notes that the digit in the hundreds place on the water meter display
changes too rapidly to read the digit and that the digit in the thousands place
changes every minute.
a. Estimate the total number of gallons passing through the dam during one 24-hour day.
Take into account the time of day when he made his observation. (Hint: Will water be
used at the same rate at 2:00 a.m. as at noon? It might be this time.). Explain how you
arrived at your estimate.
___/3
The meter will be checked at regular time spans (for example, every minute, every 10
minutes, every hour).What is the minimum (or smallest) number of checks needed in a 24hour period to create a reasonably accurate graph of the water usage rate with respect to
time? (For example, 24 checks would mean checking the meter every hour; 48 checks
would mean checking the meter every half hour.) Defend your choice by describing how
the water usage rate might change during the day and how your choice could capture that
change.
8. I drive at a rate of 60 mph for 2.5 hours. Then I slow down so that I am driving at 45
mph for 1 hour. I speed up and get on a highway. Now I drive at a rate of 65 mph for
3 hours. How far did I drive?
____/3
9. Identify a number that is a whole number, even, and greater than 4 ____/4